2012
DOI: 10.1063/1.4729442
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Sheath width effect on the determination of plasma frequency in the cutoff probe

Abstract: To analyze the sheath width effect on the determination of the plasma frequency in the cutoff probe, two simulations (a simplified circuit simulation and an E/M simulation) were conducted. Both two simulations showed a consistent result: the cutoff frequency ωc, which is selected as a frequency of minimum peak in a transmission microwave frequency (TMF) spectrum, deviates from the plasma frequency ωp while increasing the sheath width on the two probe tips. The physics behind the movement of cutoff frequency in… Show more

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Cited by 18 publications
(9 citation statements)
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(14 reference statements)
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“…When we see the phase of transmission spectrum (strictly speaking phase difference spectrum between current and voltage), the sign of the phase changes with frequency in series, plus, minus and plus [7,10]. This sign changes are originated from the fact that the property of the cutoff probe changes with frequency in series, capacitor, inductor, and capacitor as noted in the previous studies [7,9,10]. Figure 2 shows the phase of transmission spectrum obtained from the FDTD simulation at the condition of n e = 2.5 × 10 10 cm −3 , p = 6.7 Pa, S = 0.33 mm, and T e = 2 eV (see black line).…”
Section: Resultsmentioning
confidence: 72%
See 1 more Smart Citation
“…When we see the phase of transmission spectrum (strictly speaking phase difference spectrum between current and voltage), the sign of the phase changes with frequency in series, plus, minus and plus [7,10]. This sign changes are originated from the fact that the property of the cutoff probe changes with frequency in series, capacitor, inductor, and capacitor as noted in the previous studies [7,9,10]. Figure 2 shows the phase of transmission spectrum obtained from the FDTD simulation at the condition of n e = 2.5 × 10 10 cm −3 , p = 6.7 Pa, S = 0.33 mm, and T e = 2 eV (see black line).…”
Section: Resultsmentioning
confidence: 72%
“…Recently, for improving the cutoff probe, the effect of sheath width on the measured plasma density from cutoff probe has been investigated [9,10]. Kim et al [10] presented the technique for measurement of the sheath width by using the cutoff probe and its equivalent circuit model.…”
Section: Introductionmentioning
confidence: 99%
“…However, as the pressure increases above 500 mTorr, the minimum peak broadens and the shape of the S 21 spectra appears to be similar to that of the vacuum S 21 of BCP as shown in figure 2(d). This result is because the wave cut-off phenomenon does not properly occur when the electron-neutral collision frequency is near or higher than the driving frequency [1,46]. Thus, the measurable pressure range of BCP is approximately up to a few Torr when we use S 21 spectra to obtain the cutoff frequency, but this pressure limitation can be solved if the phase-resolved cut-off method is used [42,43].…”
Section: Resultsmentioning
confidence: 98%
“…For comparison, Figure 7 also shows the full-wave simulated results obtained thru CST [11]. Simulations are performed based on the Drude model in Equation ( 3), which is a popular model that describes its interaction between plasma and electromagnetic waves [8,9,12,15,16]. For comparison, Figure 7 also shows the full-wave simulated results obtained thru CST [11].…”
Section: Experimental Results and Analysismentioning
confidence: 99%